The inverse Mermin-Wagner theorem for classical spin models on graphs

Details The inverse Mermin-Wagner theorem for classical spin models on graphs The inverse Mermin-Wagner theorem for classical spin models on graphs

1999-05-14

arxiv.org/abs/cond-mat/9905207v1

Physics

Condensed Matter

Statistical Mechanics

4 Pages, to appear on PRE

Scientific paper

10.1103/PhysRevE.60.1500

In this letter we present the inversion of the Mermin-Wagner theorem on graphs, by proving the existence of spontaneous magnetization at finite temperature for classical spin models on transient on the average (TOA) graphs, i.e. graphs where a random walker returns to its starting point with an average probability $\bar F < 1$. This result, which is here proven for models with O(n) symmetry, includes as a particular case $n=1$, providing a very general condition for spontaneous symmetry breaking on inhomogeneous structures even for the Ising model.

Affiliated with

Also associated with

No associations

Rating

The inverse Mermin-Wagner theorem for classical spin models on graphs does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The inverse Mermin-Wagner theorem for classical spin models on graphs, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The inverse Mermin-Wagner theorem for classical spin models on graphs will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-722196